Search a number
-
+
14038522944 = 263587124561
BaseRepresentation
bin11010001001100001…
…01101110001000000
31100020100221212010020
431010300231301000
5212222330213234
610241010133440
71004613322215
oct150460556100
940210855106
1014038522944
115a54420086
122879581280
1314295a9314
14972663b0c
155726e2549
hex344c2dc40

14038522944 has 56 divisors (see below), whose sum is σ = 37207167648. Its totient is φ = 4671498240.

The previous prime is 14038522889. The next prime is 14038522969. The reversal of 14038522944 is 44922583041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14038522896 and 14038522905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50424 + ... + 174984.

It is an arithmetic number, because the mean of its divisors is an integer number (664413708).

Almost surely, 214038522944 is an apocalyptic number.

It is an amenable number.

14038522944 is an abundant number, since it is smaller than the sum of its proper divisors (23168644704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14038522944 is a wasteful number, since it uses less digits than its factorization.

14038522944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125163 (or 125153 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14038522944 in words is "fourteen billion, thirty-eight million, five hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 587 1174 1761 2348 3522 4696 7044 9392 14088 18784 28176 37568 56352 112704 124561 249122 373683 498244 747366 996488 1494732 1992976 2989464 3985952 5978928 7971904 11957856 23915712 73117307 146234614 219351921 292469228 438703842 584938456 877407684 1169876912 1754815368 2339753824 3509630736 4679507648 7019261472 14038522944